What is 9/16 \div 7/10 ?

The solution to 9/16 \div 7/10 is 45/56

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9/16 \div 7/10

\frac{9}{16} \div \frac{7}{10}

\frac{45}{56}

Solution steps

\frac{9}{16} \div \frac{7}{10}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{9}{16} \times \frac{10}{7}

Cross-cancel common factor:

2

= \frac{9}{8} \times \frac{5}{7}

Multiply fractions:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{9 \times 5}{8 \times 7}

Multiply the numbers:

9 \times 5 = 45

= \frac{45}{8 \times 7}

Multiply the numbers:

8 \times 7 = 56

= \frac{45}{56}

\frac{2}{5} - \frac{4}{5}

\frac{162}{9}

3 (- 7 - 8 n)

8 (6 r + 6 s)